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Ksivusya [100]
3 years ago
14

50 POINTS

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Area of sector = ½ r² ∅

1/2 ( 9^2) pi/6

81 x pi/6 x 1/2

81 x (0.52359877559) x 1/2

Area of sector = 21.21

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A bookshelf can hold a maximum of 45 books. Let b represents the number of books to be shelved. Which inequality represents how
leonid [27]
The number of books that can be shelved is 45. So then we know that the amount that need to be shelved <em>can</em> be 45, if the bookshelf had 0 books on it. This means that it can have the equal part of the inequality sign.

However, the amount of book that need to be shelved cannot <em>exceed</em> 45, so b must be less than 45.

Therefore, the answer must be D) b ≤ 45.
7 0
3 years ago
How do you find the length of the curve x=3t−t3x=3t-t^3, y=3t2y=3t^2, where 0≤t≤3√0&lt;=t&lt;=sqrt(3) ?
taurus [48]
It's simple, you just have to do this:

L=\int\limits_{a}^{b}\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}~dt

x=3t-t^3

\frac{dx}{dt}=3-3t^2

y=3t^2

\frac{dy}{dt}=6t

replacing

L=\int\limits_{0}^{\sqrt{3}}\sqrt{\left(3-3t^2\right)^2+\left(6t\right)^2}~dt

L=\int\limits_{0}^{\sqrt{3}}\sqrt{9-18t^2+9t^4+36t^2}~dt

L=\int\limits_{0}^{\sqrt{3}}\sqrt{9+9t^4+18t^2}~dt

L=\int\limits_{0}^{\sqrt{3}}\sqrt{(3t^2+3)^2}~dt

L=\int\limits_{0}^{\sqrt{3}}(3t^2+3)~dt

L=t^3+3t|_0^{\sqrt{3}}

\boxed{\boxed{L=3\sqrt{3}+3\sqrt{3}=6\sqrt{3}}}
8 0
3 years ago
Find a 99% confidence interval for the previous problem.A) ($99,271.44, $100,728.56)B) ($99,242.00, $100,758.01)C) ($99.996.46,
Mamont248 [21]

95% confidence interval is given by

x - 2D , and x+ 2D

For 99% confidence interval is

x - 3D , and x + 3D

x = 100000

D = 2000

Then calculate

100000 - 3•2000= 94000

and

100000 + 3•2000= 106000

Now find √D = 44.72

Then interval is

100000 - 44.72 ,. And. 100000 + 44.72

99,956 lower limit and. 100472 upper limit

Then we see that theres only one interval ,

that is between thes 2 limits

ANSWER Is OPTION C) ) ($99.996.46, $100,003.55)

8 0
2 years ago
Can someone pls help with this? thank u :)
Daniel [21]

This is the way to solve this

8 0
3 years ago
Jeff read to his brother for 3 4 of an hour. how long did he read?
lana66690 [7]
Assuming your 3 4 is supposed to be the fraction 3/4 then 3/4 of an hour is 45 minutes. (3/4 × 60 (minutes in an hour) = 45)
8 0
4 years ago
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